Theorems · Theorem · special functions
Real.arcsin_nonneg
∀ {x : ℝ}, 0 ≤ Real.arcsin x ↔ 0 ≤ x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- LT.lt.leproof · cited by 2,189
- Real.arcsinstatement · cited by 125
- neg_lt_zeroproof · cited by 36
- Real.sin_zeroproof · cited by 32
- Real.pi_div_two_posproof · cited by 22
- Real.le_arcsin_iff_sin_le'proof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Real.arcsin_nonposproof · cited by 1
- Real.arcsin_lt_zeroproof · cited by 0
- Real.arcsin_eq_arccosproof · cited by 0